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## Homework Statement

Concicer the dilation operator

[itex] D = \vec{r} * \vec{p}[/itex]

Compute [itex] [D,\vec{r} ] and [D, \vec{p}] [/itex]

## Homework Equations

[itex] p = - i * hbar [/itex]

## The Attempt at a Solution

I think the question is really if [itex] [D, \vec{r}] [/itex] commutes

I got this:

[itex] D = \vec{r} * \vec{p}[/itex]

[itex] D = x p_x + y p_y + z p_z[/itex]

for the x direction:

[itex][D, r] = [D, x] = [x, x p_x][/itex]

where do i take it from here?